Why slicing a cone gives an ellipse (beautiful proof)

Me: Just going about my daily life. 3Blue1Brown: Ever wondered why slicing a cone gives an ellipse? Me: I wonder why slicing a cone gives an ellipse.

"You can often view glimpses of ingeniousness not as inexplicable miracles, but as the residue of experience. And when you do, the idea of genius goes from being mesmerizing to instead being actively inspirational" -Grant Sanderson (3blue1brown) phenomenal quote.

No, I've never wondered why slicing a cone gives an ellipse. But surely was wonderful to see why.

0:04 "Suppose you love math ..." I clicked on a 12 min video about an ellipse, come on dude.

regular mathematician: QED 3Blue1Brown: BADA-BOOM BADA-BING

Idk why I love squishification so much as a word

“Let’s focus our attention” well played sir.

I like what you said about genius being a product of experience. Many people look at Einstein's Relativity, for example, as being an idea out of nowhere, but in its day, and for those in the field, it was not as strange as you would think. Einstein didn't just see something that no one was looking for; there were known inconsistencies between the theories of Maxwell's equations of how electromagnetism worked, and Newton's equations an how people thought electromagnetism SHOULD work. Einstein was trying to figure that out, and the Theory of Relativity was the result.

I don't know what's the magic in your voice that i cant close the video until i watch it completely.

12:20 Only you would make sure the hands of a clock that spends 3 seconds on the screen are perfectly synchronised.

"You can often view glimpses of ingeniousness not as inexplicable miracles but as the residue of experience. And when you do, the idea of genius goes from being mesmerizing to instead being actively inspirational." -3b1b ❤️

I chose to study arts, languages and history just to getaway from Math due to a horrible teacher I had in high school. That is the way the education system works is Spain regretfully. You are forced to make a choice on branches of study when you are anything more than a teenager. Now I'm 37 and Math has been ever since growing on me. I found this video so beautiful I almost cried. Thanks a mill!

The concluding idea was interesting too... “You can often view glimpses of ingeniousness not as inexplicable miracles, but as the residue of experience.... And when you do, the idea of genius goes from being mesmerizing to instead being actively inspirational...”

While watching your videos I often wonder how can a teacher teach these topics without the softwares and animations you use. Like this videos are truly a form of art!

Just returned to this video and was reminded of what a wonderful production it is. You are a gem, 3b1b. You have an absolute knack for mathematical communication, and I admire you passion for making the art more accessible. I’ve shown this video to many friends who ask me “why do you think pure math is beautiful?” or “Why should I care if it doesn’t have an application?” and I think you answer those questions better than anyone else I’ve ever seen. Bravo!

I have a latin test in 2 hours and im watching this for some reason

10:22 Henri Poincaré said : "Mathematics is the art of giving the same name to different things." (La mathématique est l'art de donner le même nom à des choses différentes.)

There are no "non math" lovers. There are only 2 types of people on Earth, people who love math, and people who are yet to actually learn math properly.

Congrats! U got a 6th grader who knows essentially nothing about stuff like spheres, cones, and ellipses to understand the concept

On the other hand, the animation quality is well explained and simplified in a mesmerizing way; and not only the animation but your voice. Very comforting and makes what ever topic you talk about comforting.